TSTP Solution File: ITP364_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 17:27:21 EDT 2022

% Result   : Theorem 3.78s 0.85s
% Output   : Refutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  379
% Syntax   : Number of formulae    :  411 (  37 unt; 367 typ;   0 def)
%            Number of atoms       :   51 (  23 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   5   |;   0   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of types       :   25 (  23 usr;   1 ari)
%            Number of type conns  :  457 ( 322   >; 135   *;   0   +;   0  <<)
%            Number of predicates  :   20 (  18 usr;   1 prp; 0-3 aty)
%            Number of functors    :  326 ( 326 usr;  22 con; 0-3 aty)
%            Number of variables   :   45 (  45   !;   0   ?;  45   :)

% Comments : 
%------------------------------------------------------------------------------
tff(type_def_5,type,
    'Int_bool_fun$': $tType ).

tff(type_def_6,type,
    'A_ltln_set_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_7,type,
    'A_ltln_bool_fun_a_ltln_set_fun$': $tType ).

tff(type_def_8,type,
    'A_ltln_set_int_fun$': $tType ).

tff(type_def_9,type,
    'Int_int_fun$': $tType ).

tff(type_def_10,type,
    'Nat_a_set_fun_bool_fun$': $tType ).

tff(type_def_11,type,
    'Nat_nat_fun$': $tType ).

tff(type_def_12,type,
    'Nat$': $tType ).

tff(type_def_13,type,
    tlbool: $tType ).

tff(type_def_14,type,
    'A_ltln_bool_fun$': $tType ).

tff(type_def_15,type,
    'A_ltln_set$': $tType ).

tff(type_def_16,type,
    'Int_a_ltln_set_fun$': $tType ).

tff(type_def_17,type,
    'A_ltln$': $tType ).

tff(type_def_18,type,
    'A_ltln_bool_fun_int_fun$': $tType ).

tff(type_def_19,type,
    'A_ltln_set_a_ltln_set_fun$': $tType ).

tff(type_def_20,type,
    'Nat_a_set_fun$': $tType ).

tff(type_def_21,type,
    'Int_int_int_fun_fun$': $tType ).

tff(type_def_22,type,
    'Nat_a_set_fun_set$': $tType ).

tff(type_def_23,type,
    'A_ltln_bool_fun_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_24,type,
    'Int_int_bool_fun_fun$': $tType ).

tff(type_def_25,type,
    'Int_a_ltln_bool_fun_fun$': $tType ).

tff(type_def_26,type,
    'Nat_bool_fun$': $tType ).

tff(type_def_27,type,
    'Nat_set$': $tType ).

tff(func_def_0,type,
    'inf$d': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_1,type,
    'w$': 'Nat_a_set_fun$' ).

tff(func_def_2,type,
    'sup$a': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).

tff(func_def_3,type,
    'uue$': 'A_ltln_set$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_4,type,
    def_6: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_5,type,
    'uu$': 'Nat_bool_fun$' ).

tff(func_def_6,type,
    'uup$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_7,type,
    'inf$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_set_fun$' ).

tff(func_def_8,type,
    'f$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_9,type,
    'psi_1$': 'A_ltln$' ).

tff(func_def_10,type,
    'or_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_11,type,
    'g_F$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_12,type,
    'mu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_13,type,
    'and_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_14,type,
    'collect$a': 'Nat_bool_fun$' > 'Nat_set$' ).

tff(func_def_15,type,
    'uuk$': 'Nat_a_set_fun_set$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_16,type,
    'uul$': 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_17,type,
    'fun_app$m': ( 'A_ltln_bool_fun_int_fun$' * 'A_ltln_bool_fun$' ) > $int ).

tff(func_def_18,type,
    'false_ltln$': 'A_ltln$' ).

tff(func_def_19,type,
    'inf$b': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_set$' ).

tff(func_def_20,type,
    'uus$': ( 'Nat_set$' * 'Nat_set$' ) > 'Nat_bool_fun$' ).

tff(func_def_21,type,
    'uvc$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_22,type,
    'uut$': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_23,type,
    def_8: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_24,type,
    'uuu$': 'A_ltln_set$' > 'A_ltln_set_a_ltln_bool_fun_fun$' ).

tff(func_def_25,type,
    'uuw$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_26,type,
    'subformulas_nu$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_27,type,
    def_7: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_28,type,
    'uuh$': 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_29,type,
    'suffix$': ( 'Nat$' * 'Nat_a_set_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_30,type,
    'uux$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_31,type,
    'uui$': 'Nat_bool_fun$' > 'Nat_bool_fun$' ).

tff(func_def_32,type,
    'uuj$': 'Nat_set$' > 'Nat_bool_fun$' ).

tff(func_def_33,type,
    'of_nat$': 'Nat$' > $int ).

tff(func_def_34,type,
    'uvb$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_35,type,
    'uuv$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_36,type,
    'until_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_37,type,
    'collect$': 'Nat_a_set_fun_bool_fun$' > 'Nat_a_set_fun_set$' ).

tff(func_def_38,type,
    'fun_app$j': ( 'Int_a_ltln_bool_fun_fun$' * $int ) > 'A_ltln_bool_fun$' ).

tff(func_def_39,type,
    def_2: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_40,type,
    'g$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_41,type,
    'gF_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_42,type,
    'collect$b': 'A_ltln_bool_fun_a_ltln_set_fun$' ).

tff(func_def_43,type,
    tltrue: tlbool ).

tff(func_def_44,type,
    'uva$': 'Int_int_bool_fun_fun$' ).

tff(func_def_45,type,
    'inf$a': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun_set$' ).

tff(func_def_46,type,
    'uur$': 'A_ltln_bool_fun$' > 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' ).

tff(func_def_47,type,
    'eps$': 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_48,type,
    'fun_app$i': ( 'Int_a_ltln_set_fun$' * $int ) > 'A_ltln_set$' ).

tff(func_def_49,type,
    'fun_app$k': ( 'A_ltln_set_int_fun$' * 'A_ltln_set$' ) > $int ).

tff(func_def_50,type,
    'fun_app$l': ( 'A_ltln_set_a_ltln_set_fun$' * 'A_ltln_set$' ) > 'A_ltln_set$' ).

tff(func_def_51,type,
    'uub$': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_52,type,
    'uuf$': ( 'Nat_set$' * 'Nat_bool_fun$' ) > 'Nat_bool_fun$' ).

tff(func_def_53,type,
    'uum$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_54,type,
    'fun_app$n': ( 'Int_int_fun$' * $int ) > $int ).

tff(func_def_55,type,
    'release_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_56,type,
    def_1: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_57,type,
    'uua$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_58,type,
    'fun_app$f': ( 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_59,type,
    'fun_app$g': ( 'A_ltln_bool_fun_a_ltln_set_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln_set$' ).

tff(func_def_60,type,
    def_4: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_61,type,
    'nu_stable$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_62,type,
    'inf$c': 'Int_int_int_fun_fun$' ).

tff(func_def_63,type,
    'psi_2$': 'A_ltln$' ).

tff(func_def_64,type,
    'true_ltln$': 'A_ltln$' ).

tff(func_def_65,type,
    'uuy$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_66,type,
    'f_G$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_set$' ).

tff(func_def_67,type,
    'subformulas_mu$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_68,type,
    'eps$a': 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_69,type,
    'fun_app$o': ( 'Int_int_int_fun_fun$' * $int ) > 'Int_int_fun$' ).

tff(func_def_70,type,
    'uuz$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_71,type,
    'subfrmlsn$': 'A_ltln$' > 'A_ltln_set$' ).

tff(func_def_72,type,
    'uud$': 'Nat$' > 'Nat_bool_fun$' ).

tff(func_def_73,type,
    'fG_advice$': ( 'A_ltln$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_74,type,
    'semantics_ltln$': 'Nat_a_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_75,type,
    'language_ltln$': 'A_ltln$' > 'Nat_a_set_fun_set$' ).

tff(func_def_76,type,
    def_5: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_77,type,
    tlfalse: tlbool ).

tff(func_def_78,type,
    'uug$': 'A_ltln$' > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_79,type,
    'nat$': $int > 'Nat$' ).

tff(func_def_80,type,
    def_3: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > tlbool ).

tff(func_def_81,type,
    'uuq$': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun_bool_fun$' ).

tff(func_def_82,type,
    'fun_app$c': ( 'Int_int_bool_fun_fun$' * $int ) > 'Int_bool_fun$' ).

tff(func_def_83,type,
    'uuc$': 'A_ltln$' > 'A_ltln_bool_fun$' ).

tff(func_def_84,type,
    'fun_app$e': ( 'A_ltln_set_a_ltln_bool_fun_fun$' * 'A_ltln_set$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_85,type,
    'uuo$': ( 'A_ltln$' * 'Nat_a_set_fun$' ) > 'A_ltln_bool_fun$' ).

tff(func_def_86,type,
    'sup$': 'Int_int_int_fun_fun$' ).

tff(func_def_87,type,
    'weakUntil_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_88,type,
    'fun_app$h': ( 'Nat_nat_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_89,type,
    'phi$': 'A_ltln$' ).

tff(func_def_90,type,
    'uun$': 'Int_int_bool_fun_fun$' ).

tff(func_def_91,type,
    'strongRelease_ltln$': ( 'A_ltln$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_96,type,
    sK3: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_97,type,
    sK4: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_98,type,
    sK5: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_99,type,
    sK6: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_100,type,
    sK7: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_101,type,
    sK8: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_102,type,
    sK9: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_103,type,
    sK10: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_104,type,
    sK11: 'A_ltln$' > 'A_ltln$' ).

tff(func_def_105,type,
    sK12: 'A_ltln$' > 'A_ltln$' ).

tff(func_def_106,type,
    sK13: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_107,type,
    sK14: 'Nat_nat_fun$' > 'Nat$' ).

tff(func_def_108,type,
    sK15: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_109,type,
    sK16: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_110,type,
    sK17: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_111,type,
    sK18: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_112,type,
    sK19: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_113,type,
    sK20: 'Int_int_fun$' > $int ).

tff(func_def_114,type,
    sK21: 'Int_int_fun$' > $int ).

tff(func_def_115,type,
    sK22: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_116,type,
    sK23: $int > $int ).

tff(func_def_117,type,
    sK24: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_118,type,
    sK25: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_119,type,
    sK26: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_120,type,
    sK27: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_121,type,
    sK28: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_122,type,
    sK29: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_123,type,
    sK30: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_124,type,
    sK31: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_125,type,
    sK32: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_126,type,
    sK33: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_127,type,
    sK34: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_128,type,
    sK35: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_129,type,
    sK36: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_130,type,
    sK37: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_131,type,
    sK38: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_132,type,
    sK39: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_133,type,
    sK40: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_134,type,
    sK41: 'Int_int_fun$' > $int ).

tff(func_def_135,type,
    sK42: 'Int_int_fun$' > $int ).

tff(func_def_136,type,
    sK43: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_137,type,
    sK44: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_138,type,
    sK45: 'Int_int_fun$' > $int ).

tff(func_def_139,type,
    sK46: 'Int_int_fun$' > $int ).

tff(func_def_140,type,
    sK47: ( 'A_ltln_set$' * 'Nat_a_set_fun$' ) > 'A_ltln$' ).

tff(func_def_141,type,
    sK48: 'Int_int_fun$' > $int ).

tff(func_def_142,type,
    sK49: 'Int_int_fun$' > $int ).

tff(func_def_143,type,
    sK50: ( 'Nat_a_set_fun$' * 'A_ltln$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_144,type,
    sK51: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_145,type,
    sK52: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_146,type,
    sK53: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_147,type,
    sK54: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_148,type,
    sK55: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_149,type,
    sK56: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_150,type,
    sK57: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_151,type,
    sK58: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_152,type,
    sK59: 'Int_int_fun$' > $int ).

tff(func_def_153,type,
    sK60: 'Int_int_fun$' > $int ).

tff(func_def_154,type,
    sK61: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_155,type,
    sK62: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_156,type,
    sK63: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_157,type,
    sK64: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_158,type,
    sK65: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_159,type,
    sK66: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_160,type,
    sK67: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_161,type,
    sK68: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_162,type,
    sK69: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_163,type,
    sK70: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_164,type,
    sK71: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_165,type,
    sK72: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_166,type,
    sK73: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_167,type,
    sK74: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_168,type,
    sK75: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_169,type,
    sK76: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_170,type,
    sK77: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_171,type,
    sK78: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_172,type,
    sK79: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_set$' ) > 'Nat_a_set_fun$' ).

tff(func_def_173,type,
    sK80: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_174,type,
    sK81: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_175,type,
    sK82: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_176,type,
    sK83: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_177,type,
    sK84: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_178,type,
    sK85: ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > 'A_ltln$' ).

tff(func_def_179,type,
    sK86: 'Int_int_fun$' > $int ).

tff(func_def_180,type,
    sK87: 'Int_int_fun$' > $int ).

tff(func_def_181,type,
    sK88: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_182,type,
    sK89: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_183,type,
    sK90: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_184,type,
    sK91: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_185,type,
    sK92: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_186,type,
    sK93: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_187,type,
    sK94: 'Int_int_fun$' > $int ).

tff(func_def_188,type,
    sK95: 'Int_int_fun$' > $int ).

tff(func_def_189,type,
    sK96: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_190,type,
    sK97: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_191,type,
    sK98: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_192,type,
    sK99: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_193,type,
    sK100: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_194,type,
    sK101: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_195,type,
    sK102: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_196,type,
    sK103: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_197,type,
    sK104: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_198,type,
    sK105: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_199,type,
    sK106: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_200,type,
    sK107: ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun_bool_fun$' ) > 'Nat_a_set_fun$' ).

tff(func_def_201,type,
    sK108: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_202,type,
    sK109: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_203,type,
    sK110: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_204,type,
    sK111: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_205,type,
    sK112: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_206,type,
    sK113: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_207,type,
    sK114: 'Nat$' ).

tff(func_def_208,type,
    sK115: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_209,type,
    sK116: ( 'A_ltln$' * 'A_ltln$' * 'Nat_a_set_fun$' ) > 'Nat$' ).

tff(func_def_210,type,
    sK117: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_211,type,
    sK118: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_212,type,
    sK119: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_213,type,
    sK120: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_214,type,
    sK121: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_215,type,
    sK122: ( 'Nat_set$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_216,type,
    sK123: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_217,type,
    sK124: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_218,type,
    sK125: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_219,type,
    sK126: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_220,type,
    sK127: 'Int_int_fun$' > $int ).

tff(func_def_221,type,
    sK128: 'Int_int_fun$' > $int ).

tff(func_def_222,type,
    sK129: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_223,type,
    sK130: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_224,type,
    sK131: 'Int_int_fun$' > $int ).

tff(func_def_225,type,
    sK132: 'Int_int_fun$' > $int ).

tff(func_def_226,type,
    sK133: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_227,type,
    sK134: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_228,type,
    sK135: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_229,type,
    sK136: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_230,type,
    sK137: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_231,type,
    sK138: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_232,type,
    sK139: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_233,type,
    sK140: ( 'A_ltln$' * 'Nat_a_set_fun$' * 'A_ltln$' ) > 'Nat$' ).

tff(func_def_234,type,
    sK141: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_235,type,
    sK142: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_236,type,
    sK143: ( 'Nat_a_set_fun$' * 'Nat$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_237,type,
    sK144: ( 'Nat_a_set_fun$' * 'Nat$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_238,type,
    sK145: ( 'Nat_a_set_fun$' * 'Nat$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_239,type,
    sK146: ( 'Nat_a_set_fun$' * 'Nat$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_240,type,
    sK147: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_241,type,
    sK148: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_242,type,
    sK149: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_243,type,
    sK150: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_244,type,
    sK151: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_245,type,
    sK152: 'Int_int_fun$' > $int ).

tff(func_def_246,type,
    sK153: 'Int_int_fun$' > $int ).

tff(func_def_247,type,
    sK154: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_248,type,
    sK155: ( 'A_ltln_bool_fun$' * 'A_ltln_set$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_249,type,
    sK156: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_250,type,
    sK157: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_251,type,
    sK158: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_252,type,
    sK159: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_253,type,
    sK160: 'Int_int_fun$' > $int ).

tff(func_def_254,type,
    sK161: 'Int_int_fun$' > $int ).

tff(func_def_255,type,
    sK162: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_256,type,
    sK163: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_257,type,
    sK164: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_258,type,
    sK165: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_259,type,
    sK166: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_260,type,
    sK167: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_261,type,
    sK168: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_262,type,
    sK169: 'Int_int_fun$' > $int ).

tff(func_def_263,type,
    sK170: 'Int_int_fun$' > $int ).

tff(func_def_264,type,
    sK171: $int > $int ).

tff(func_def_265,type,
    sK172: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_266,type,
    sK173: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_267,type,
    sK174: ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > 'A_ltln$' ).

tff(func_def_268,type,
    sK175: ( 'Nat$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_269,type,
    sK176: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_270,type,
    sK177: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_271,type,
    sK178: ( 'A_ltln_set$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_272,type,
    sK179: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_273,type,
    sK180: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_274,type,
    sK181: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_275,type,
    sK182: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_276,type,
    sK183: 'Int_int_bool_fun_fun$' > $int ).

tff(func_def_277,type,
    sK184: ( 'Nat_bool_fun$' * 'Nat$' ) > 'Nat$' ).

tff(func_def_278,type,
    sK185: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_279,type,
    sK186: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_280,type,
    sK187: 'Int_a_ltln_set_fun$' > $int ).

tff(func_def_281,type,
    sK188: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_282,type,
    sK189: 'A_ltln_bool_fun_a_ltln_bool_fun_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_283,type,
    sK190: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_284,type,
    sK191: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_285,type,
    sK192: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_286,type,
    sK193: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_287,type,
    sK194: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_288,type,
    sK195: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_289,type,
    sK196: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_290,type,
    sK197: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_291,type,
    sK198: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_292,type,
    sK199: 'A_ltln_set_a_ltln_bool_fun_fun$' > 'A_ltln_set$' ).

tff(func_def_293,type,
    sK200: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_294,type,
    sK201: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_295,type,
    sK202: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_296,type,
    sK203: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_297,type,
    sK204: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_298,type,
    sK205: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_299,type,
    sK206: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_300,type,
    sK207: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_301,type,
    sK208: 'Int_int_int_fun_fun$' > $int ).

tff(func_def_302,type,
    sK209: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_303,type,
    sK210: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_304,type,
    sK211: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_305,type,
    sK212: 'A_ltln_set_a_ltln_set_fun$' > 'A_ltln_set$' ).

tff(func_def_306,type,
    sK213: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_307,type,
    sK214: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_308,type,
    sK215: 'Nat_bool_fun$' > 'Nat$' ).

tff(func_def_309,type,
    sK216: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_310,type,
    sK217: ( 'Nat_bool_fun$' * 'Nat_bool_fun$' * 'Nat_set$' ) > 'Nat$' ).

tff(func_def_311,type,
    sK218: ( 'Nat_a_set_fun$' * 'A_ltln_set$' ) > 'A_ltln$' ).

tff(func_def_312,type,
    sK219: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_313,type,
    sK220: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_314,type,
    sK221: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_315,type,
    sK222: ( 'Nat_set$' * 'Nat_bool_fun$' * 'Nat_bool_fun$' ) > 'Nat$' ).

tff(func_def_316,type,
    sK223: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_317,type,
    sK224: 'A_ltln_bool_fun_int_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_318,type,
    sK225: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_319,type,
    sK226: 'Int_a_ltln_bool_fun_fun$' > $int ).

tff(func_def_320,type,
    sK227: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_321,type,
    sK228: 'A_ltln_bool_fun_a_ltln_set_fun$' > 'A_ltln_bool_fun$' ).

tff(func_def_322,type,
    sK229: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_323,type,
    sK230: 'A_ltln_set_int_fun$' > 'A_ltln_set$' ).

tff(func_def_324,type,
    sK231: 'A_ltln_bool_fun$' > 'A_ltln$' ).

tff(func_def_325,type,
    sF232: 'Nat$' ).

tff(func_def_326,type,
    sF233: 'Nat_a_set_fun$' ).

tff(func_def_327,type,
    sF234: 'A_ltln_bool_fun$' ).

tff(func_def_328,type,
    sF235: 'A_ltln$' ).

tff(func_def_329,type,
    sF236: 'A_ltln$' ).

tff(pred_def_1,type,
    'fun_app$a': ( 'A_ltln_bool_fun$' * 'A_ltln$' ) > $o ).

tff(pred_def_2,type,
    'less_eq$c': ( 'Nat_set$' * 'Nat_set$' ) > $o ).

tff(pred_def_3,type,
    'less_eq$b': ( tlbool * tlbool ) > $o ).

tff(pred_def_4,type,
    'member$a': ( 'Nat$' * 'Nat_set$' ) > $o ).

tff(pred_def_5,type,
    'less$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).

tff(pred_def_6,type,
    'less_eq$d': ( 'Nat_a_set_fun_set$' * 'Nat_a_set_fun_set$' ) > $o ).

tff(pred_def_7,type,
    'fun_app$': ( 'Nat_bool_fun$' * 'Nat$' ) > $o ).

tff(pred_def_8,type,
    'less_eq$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_9,type,
    'fun_app$d': ( 'Nat_a_set_fun_bool_fun$' * 'Nat_a_set_fun$' ) > $o ).

tff(pred_def_10,type,
    'member$': ( 'A_ltln$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_11,type,
    'member$b': ( 'Nat_a_set_fun$' * 'Nat_a_set_fun_set$' ) > $o ).

tff(pred_def_12,type,
    'less$': ( 'A_ltln_set$' * 'A_ltln_set$' ) > $o ).

tff(pred_def_13,type,
    'semilattice_order_set$': ( 'Int_int_int_fun_fun$' * 'Int_int_bool_fun_fun$' * 'Int_int_bool_fun_fun$' ) > $o ).

tff(pred_def_14,type,
    'less_eq$a': ( 'A_ltln_bool_fun$' * 'A_ltln_bool_fun$' ) > $o ).

tff(pred_def_15,type,
    'fun_app$b': ( 'Int_bool_fun$' * $int ) > $o ).

tff(pred_def_18,type,
    sP0: ( $int * $int * $int ) > $o ).

tff(pred_def_19,type,
    sP1: ( $int * $int * $int ) > $o ).

tff(pred_def_20,type,
    sP2: ( $int * $int * $int ) > $o ).

tff(f6145,plain,
    $false,
    inference(subsumption_resolution,[],[f6144,f4290]) ).

tff(f4290,plain,
    ~ 'fun_app$a'(sF234,sF236),
    inference(definition_folding,[],[f3743,f4289,f4288,f4287,f4286,f4285]) ).

tff(f4285,plain,
    'eps$'('uu$') = sF232,
    introduced(function_definition,[]) ).

tff(f4286,plain,
    'suffix$'(sF232,'w$') = sF233,
    introduced(function_definition,[]) ).

tff(f4287,plain,
    'semantics_ltln$'(sF233) = sF234,
    introduced(function_definition,[]) ).

tff(f4288,plain,
    'weakUntil_ltln$'('psi_1$','psi_2$') = sF235,
    introduced(function_definition,[]) ).

tff(f4289,plain,
    'release_ltln$'('false_ltln$',sF235) = sF236,
    introduced(function_definition,[]) ).

tff(f3743,plain,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(cnf_transformation,[],[f1124]) ).

tff(f1124,plain,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(flattening,[],[f32]) ).

tff(f32,negated_conjecture,
    ~ 'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    inference(negated_conjecture,[],[f31]) ).

tff(f31,conjecture,
    'fun_app$a'('semantics_ltln$'('suffix$'('eps$'('uu$'),'w$')),'release_ltln$'('false_ltln$','weakUntil_ltln$'('psi_1$','psi_2$'))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture30) ).

tff(f6144,plain,
    'fun_app$a'(sF234,sF236),
    inference(forward_demodulation,[],[f6143,f4287]) ).

tff(f6143,plain,
    'fun_app$a'('semantics_ltln$'(sF233),sF236),
    inference(forward_demodulation,[],[f6142,f4289]) ).

tff(f6142,plain,
    'fun_app$a'('semantics_ltln$'(sF233),'release_ltln$'('false_ltln$',sF235)),
    inference(resolution,[],[f4368,f4426]) ).

tff(f4426,plain,
    'member$'(sF235,'fun_app$g'('collect$b','uum$'('phi$',sF233))),
    inference(backward_demodulation,[],[f4415,f4425]) ).

tff(f4425,plain,
    'fun_app$g'('collect$b','uuo$'('phi$','w$')) = 'fun_app$g'('collect$b','uum$'('phi$',sF233)),
    inference(forward_demodulation,[],[f4424,f4052]) ).

tff(f4052,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'fun_app$g'('collect$b','uum$'(X0,X1)) = 'fun_app$l'('inf$'('subformulas_nu$'(X0)),'fun_app$g'('collect$b','uuv$'(X1))) ),
    inference(definition_unfolding,[],[f3647,f3508]) ).

tff(f3508,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$l'('inf$'('subformulas_nu$'(X0)),'fun_app$g'('collect$b','uuv$'(X1))) ),
    inference(cnf_transformation,[],[f2429]) ).

tff(f2429,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$l'('inf$'('subformulas_nu$'(X0)),'fun_app$g'('collect$b','uuv$'(X1))) ),
    inference(rectify,[],[f1038]) ).

tff(f1038,plain,
    ! [X1: 'A_ltln$',X0: 'Nat_a_set_fun$'] : ( 'g$'(X1,X0) = 'fun_app$l'('inf$'('subformulas_nu$'(X1)),'fun_app$g'('collect$b','uuv$'(X0))) ),
    inference(rectify,[],[f511]) ).

tff(f511,axiom,
    ! [X1: 'Nat_a_set_fun$',X0: 'A_ltln$'] : ( 'g$'(X0,X1) = 'fun_app$l'('inf$'('subformulas_nu$'(X0)),'fun_app$g'('collect$b','uuv$'(X1))) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom509) ).

tff(f3647,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$g'('collect$b','uum$'(X0,X1)) ),
    inference(cnf_transformation,[],[f2546]) ).

tff(f2546,plain,
    ! [X0: 'A_ltln$',X1: 'Nat_a_set_fun$'] : ( 'g$'(X0,X1) = 'fun_app$g'('collect$b','uum$'(X0,X1)) ),
    inference(rectify,[],[f1193]) ).

tff(f1193,plain,
    ! [X1: 'A_ltln$',X0: 'Nat_a_set_fun$'] : ( 'g$'(X1,X0) = 'fun_app$g'('collect$b','uum$'(X1,X0)) ),
    inference(rectify,[],[f112]) ).

tff(f112,axiom,
    ! [X1: 'Nat_a_set_fun$',X0: 'A_ltln$'] : ( 'g$'(X0,X1) = 'fun_app$g'('collect$b','uum$'(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom110) ).

tff(f4424,plain,
    'fun_app$l'('inf$'('subformulas_nu$'('phi$')),'fun_app$g'('collect$b','uuv$'(sF233))) = 'fun_app$g'('collect$b','uuo$'('phi$','w$')),
    inference(backward_demodulation,[],[f4338,f4286]) ).

tff(f4338,plain,
    'fun_app$l'('inf$'('subformulas_nu$'('phi$')),'fun_app$g'('collect$b','uuv$'('suffix$'(sF232,'w$')))) = 'fun_app$g'('collect$b','uuo$'('phi$','w$')),
    inference(backward_demodulation,[],[f4062,f4285]) ).

tff(f4062,plain,
    'fun_app$l'('inf$'('subformulas_nu$'('phi$')),'fun_app$g'('collect$b','uuv$'('suffix$'('eps$'('uu$'),'w$')))) = 'fun_app$g'('collect$b','uuo$'('phi$','w$')),
    inference(definition_unfolding,[],[f3868,f3232,f3508]) ).

tff(f3232,plain,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] : ( 'fun_app$g'('collect$b','uuo$'(X1,X0)) = 'f_G$'(X1,X0) ),
    inference(cnf_transformation,[],[f2183]) ).

tff(f2183,plain,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] : ( 'fun_app$g'('collect$b','uuo$'(X1,X0)) = 'f_G$'(X1,X0) ),
    inference(rectify,[],[f416]) ).

tff(f416,axiom,
    ! [X1: 'Nat_a_set_fun$',X0: 'A_ltln$'] : ( 'f_G$'(X0,X1) = 'fun_app$g'('collect$b','uuo$'(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom414) ).

tff(f3868,plain,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    inference(cnf_transformation,[],[f36]) ).

tff(f36,axiom,
    'f_G$'('phi$','w$') = 'g$'('phi$','suffix$'('eps$'('uu$'),'w$')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom34) ).

tff(f4415,plain,
    'member$'(sF235,'fun_app$g'('collect$b','uuo$'('phi$','w$'))),
    inference(backward_demodulation,[],[f4054,f4288]) ).

tff(f4054,plain,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'fun_app$g'('collect$b','uuo$'('phi$','w$'))),
    inference(definition_unfolding,[],[f3711,f3232]) ).

tff(f3711,plain,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    inference(cnf_transformation,[],[f34]) ).

tff(f34,axiom,
    'member$'('weakUntil_ltln$'('psi_1$','psi_2$'),'f_G$'('phi$','w$')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom32) ).

tff(f4368,plain,
    ! [X2: 'A_ltln$',X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( ~ 'member$'(X2,'fun_app$g'('collect$b','uum$'(X1,X0)))
      | 'fun_app$a'('semantics_ltln$'(X0),'release_ltln$'('false_ltln$',X2)) ),
    inference(forward_demodulation,[],[f4068,f4052]) ).

tff(f4068,plain,
    ! [X2: 'A_ltln$',X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( ~ 'member$'(X2,'fun_app$l'('inf$'('subformulas_nu$'(X1)),'fun_app$g'('collect$b','uuv$'(X0))))
      | 'fun_app$a'('semantics_ltln$'(X0),'release_ltln$'('false_ltln$',X2)) ),
    inference(definition_unfolding,[],[f3923,f3508]) ).

tff(f3923,plain,
    ! [X2: 'A_ltln$',X0: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( 'fun_app$a'('semantics_ltln$'(X0),'release_ltln$'('false_ltln$',X2))
      | ~ 'member$'(X2,'g$'(X1,X0)) ),
    inference(cnf_transformation,[],[f2799]) ).

tff(f2799,plain,
    ! [X0: 'Nat_a_set_fun$',X1: 'A_ltln$',X2: 'A_ltln$'] :
      ( 'fun_app$a'('semantics_ltln$'(X0),'release_ltln$'('false_ltln$',X2))
      | ~ 'member$'(X2,'g$'(X1,X0)) ),
    inference(rectify,[],[f1537]) ).

tff(f1537,plain,
    ! [X1: 'Nat_a_set_fun$',X2: 'A_ltln$',X0: 'A_ltln$'] :
      ( 'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('false_ltln$',X0))
      | ~ 'member$'(X0,'g$'(X2,X1)) ),
    inference(ennf_transformation,[],[f882]) ).

tff(f882,plain,
    ! [X1: 'Nat_a_set_fun$',X0: 'A_ltln$',X2: 'A_ltln$'] :
      ( 'member$'(X0,'g$'(X2,X1))
     => 'fun_app$a'('semantics_ltln$'(X1),'release_ltln$'('false_ltln$',X0)) ),
    inference(rectify,[],[f41]) ).

tff(f41,axiom,
    ! [X0: 'A_ltln$',X2: 'Nat_a_set_fun$',X1: 'A_ltln$'] :
      ( 'member$'(X0,'g$'(X1,X2))
     => 'fun_app$a'('semantics_ltln$'(X2),'release_ltln$'('false_ltln$',X0)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom39) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07  % Problem    : ITP001_1 : TPTP v8.1.0. Released v8.1.0.
% 0.00/0.07  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.06/0.26  % Computer : n023.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit   : 300
% 0.06/0.26  % WCLimit    : 300
% 0.06/0.26  % DateTime   : Tue Aug 30 00:40:05 EDT 2022
% 0.06/0.26  % CPUTime    : 
% 0.10/0.38  % (6210)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.38  % (6218)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.38  % (6208)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.38  % (6227)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.10/0.39  % (6216)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.10/0.40  % (6219)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.10/0.41  % (6226)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.10/0.41  % (6217)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.41  % (6206)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.41  % (6204)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.41  % (6205)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.10/0.41  % (6211)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.10/0.42  % (6209)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.10/0.42  % (6208)Instruction limit reached!
% 0.10/0.42  % (6208)------------------------------
% 0.10/0.42  % (6208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.43  % (6203)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.10/0.43  % (6211)Instruction limit reached!
% 0.10/0.43  % (6211)------------------------------
% 0.10/0.43  % (6211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.43  % (6211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.43  % (6211)Termination reason: Unknown
% 0.10/0.43  % (6211)Termination phase: Property scanning
% 0.10/0.43  
% 0.10/0.43  % (6211)Memory used [KB]: 1535
% 0.10/0.43  % (6211)Time elapsed: 0.007 s
% 0.10/0.43  % (6211)Instructions burned: 7 (million)
% 0.10/0.43  % (6211)------------------------------
% 0.10/0.43  % (6211)------------------------------
% 0.10/0.43  % (6232)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.10/0.43  % (6220)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.10/0.43  % (6224)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.10/0.43  % (6231)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.10/0.43  % (6221)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.10/0.43  % (6230)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.10/0.43  % (6228)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.10/0.44  % (6213)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.10/0.44  % (6212)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.10/0.44  % (6229)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.10/0.45  % (6222)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45  % (6212)Instruction limit reached!
% 0.10/0.45  % (6212)------------------------------
% 0.10/0.45  % (6212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.45  % (6212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45  % (6212)Termination reason: Unknown
% 0.10/0.45  % (6212)Termination phase: shuffling
% 0.10/0.45  
% 0.10/0.45  % (6212)Memory used [KB]: 1407
% 0.10/0.45  % (6212)Time elapsed: 0.003 s
% 0.10/0.45  % (6212)Instructions burned: 2 (million)
% 0.10/0.45  % (6212)------------------------------
% 0.10/0.45  % (6212)------------------------------
% 0.10/0.45  % (6233)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.10/0.45  % (6215)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45  % (6225)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.10/0.45  % (6223)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.10/0.45  % (6208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.45  % (6208)Termination reason: Unknown
% 0.10/0.45  % (6208)Termination phase: Property scanning
% 0.10/0.45  
% 0.10/0.45  % (6208)Memory used [KB]: 3198
% 0.10/0.45  % (6208)Time elapsed: 0.027 s
% 0.10/0.45  % (6208)Instructions burned: 54 (million)
% 0.10/0.45  % (6208)------------------------------
% 0.10/0.45  % (6208)------------------------------
% 0.10/0.45  % (6214)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.10/0.48  % (6205)Instruction limit reached!
% 0.10/0.48  % (6205)------------------------------
% 0.10/0.48  % (6205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.48  % (6205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.48  % (6205)Termination reason: Unknown
% 0.10/0.48  % (6205)Termination phase: Preprocessing 3
% 0.10/0.48  
% 0.10/0.48  % (6205)Memory used [KB]: 2302
% 0.10/0.48  % (6205)Time elapsed: 0.021 s
% 0.10/0.48  % (6205)Instructions burned: 37 (million)
% 0.10/0.48  % (6205)------------------------------
% 0.10/0.48  % (6205)------------------------------
% 0.10/0.48  % (6210)Instruction limit reached!
% 0.10/0.48  % (6210)------------------------------
% 0.10/0.48  % (6210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49  % (6204)Instruction limit reached!
% 0.10/0.49  % (6204)------------------------------
% 0.10/0.49  % (6204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49  % (6204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (6204)Termination reason: Unknown
% 0.10/0.49  % (6204)Termination phase: Property scanning
% 0.10/0.49  
% 0.10/0.49  % (6204)Memory used [KB]: 3198
% 0.10/0.49  % (6204)Time elapsed: 0.036 s
% 0.10/0.49  % (6204)Instructions burned: 52 (million)
% 0.10/0.49  % (6204)------------------------------
% 0.10/0.49  % (6204)------------------------------
% 0.10/0.49  % (6210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (6210)Termination reason: Unknown
% 0.10/0.49  % (6210)Termination phase: Property scanning
% 0.10/0.49  
% 0.10/0.49  % (6210)Memory used [KB]: 3198
% 0.10/0.49  % (6210)Time elapsed: 0.033 s
% 0.10/0.49  % (6210)Instructions burned: 52 (million)
% 0.10/0.49  % (6210)------------------------------
% 0.10/0.49  % (6210)------------------------------
% 0.10/0.49  % (6218)Instruction limit reached!
% 0.10/0.49  % (6218)------------------------------
% 0.10/0.49  % (6218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.49  % (6218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.49  % (6218)Termination reason: Unknown
% 0.10/0.49  % (6218)Termination phase: Property scanning
% 0.10/0.49  
% 0.10/0.49  % (6218)Memory used [KB]: 3709
% 0.10/0.49  % (6218)Time elapsed: 0.040 s
% 0.10/0.49  % (6218)Instructions burned: 70 (million)
% 0.10/0.49  % (6218)------------------------------
% 0.10/0.49  % (6218)------------------------------
% 0.10/0.50  % (6206)Instruction limit reached!
% 0.10/0.50  % (6206)------------------------------
% 0.10/0.50  % (6206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (6206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (6206)Termination reason: Unknown
% 0.10/0.50  % (6206)Termination phase: Property scanning
% 0.10/0.50  
% 0.10/0.50  % (6206)Memory used [KB]: 3070
% 0.10/0.50  % (6206)Time elapsed: 0.026 s
% 0.10/0.50  % (6206)Instructions burned: 53 (million)
% 0.10/0.50  % (6206)------------------------------
% 0.10/0.50  % (6206)------------------------------
% 0.10/0.50  % (6209)Instruction limit reached!
% 0.10/0.50  % (6209)------------------------------
% 0.10/0.50  % (6209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (6209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (6209)Termination reason: Unknown
% 0.10/0.50  % (6209)Termination phase: Property scanning
% 0.10/0.50  
% 0.10/0.50  % (6209)Memory used [KB]: 3198
% 0.10/0.50  % (6209)Time elapsed: 0.024 s
% 0.10/0.50  % (6209)Instructions burned: 49 (million)
% 0.10/0.50  % (6209)------------------------------
% 0.10/0.50  % (6209)------------------------------
% 0.10/0.50  % (6219)Instruction limit reached!
% 0.10/0.50  % (6219)------------------------------
% 0.10/0.50  % (6219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.50  % (6219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.50  % (6219)Termination reason: Unknown
% 0.10/0.50  % (6219)Termination phase: Saturation
% 0.10/0.50  
% 0.10/0.50  % (6219)Memory used [KB]: 3326
% 0.10/0.50  % (6219)Time elapsed: 0.046 s
% 0.10/0.50  % (6219)Instructions burned: 76 (million)
% 0.10/0.50  % (6219)------------------------------
% 0.10/0.50  % (6219)------------------------------
% 0.10/0.52  % (6221)Instruction limit reached!
% 0.10/0.52  % (6221)------------------------------
% 0.10/0.52  % (6221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.52  % (6213)Instruction limit reached!
% 0.10/0.52  % (6213)------------------------------
% 0.10/0.52  % (6213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.53  % (6214)Instruction limit reached!
% 0.10/0.53  % (6214)------------------------------
% 0.10/0.53  % (6214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.53  % (6214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.53  % (6214)Termination reason: Unknown
% 0.10/0.53  % (6214)Termination phase: Property scanning
% 0.10/0.53  
% 0.10/0.53  % (6214)Memory used [KB]: 3198
% 0.10/0.53  % (6214)Time elapsed: 0.028 s
% 0.10/0.53  % (6214)Instructions burned: 50 (million)
% 0.10/0.53  % (6214)------------------------------
% 0.10/0.53  % (6214)------------------------------
% 0.10/0.54  % (6221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54  % (6221)Termination reason: Unknown
% 0.10/0.54  % (6221)Termination phase: Function definition elimination
% 0.10/0.54  
% 0.10/0.54  % (6221)Memory used [KB]: 3198
% 0.10/0.54  % (6221)Time elapsed: 0.027 s
% 0.10/0.54  % (6221)Instructions burned: 59 (million)
% 0.10/0.54  % (6221)------------------------------
% 0.10/0.54  % (6221)------------------------------
% 0.10/0.54  % (6213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.54  % (6213)Termination reason: Unknown
% 0.10/0.54  % (6213)Termination phase: Property scanning
% 0.10/0.54  
% 0.10/0.54  % (6213)Memory used [KB]: 3198
% 0.10/0.54  % (6213)Time elapsed: 0.024 s
% 0.10/0.54  % (6213)Instructions burned: 54 (million)
% 0.10/0.54  % (6213)------------------------------
% 0.10/0.54  % (6213)------------------------------
% 0.10/0.55  % (6216)Instruction limit reached!
% 0.10/0.55  % (6216)------------------------------
% 0.10/0.55  % (6216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.55  % (6216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.55  % (6216)Termination reason: Unknown
% 0.10/0.55  % (6216)Termination phase: Saturation
% 0.10/0.55  
% 0.10/0.55  % (6216)Memory used [KB]: 8315
% 0.10/0.55  % (6216)Time elapsed: 0.049 s
% 0.10/0.55  % (6216)Instructions burned: 102 (million)
% 0.10/0.55  % (6216)------------------------------
% 0.10/0.55  % (6216)------------------------------
% 0.10/0.56  % (6230)Instruction limit reached!
% 0.10/0.56  % (6230)------------------------------
% 0.10/0.56  % (6230)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (6230)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (6230)Termination reason: Unknown
% 0.10/0.56  % (6230)Termination phase: Property scanning
% 0.10/0.56  
% 0.10/0.56  % (6230)Memory used [KB]: 3709
% 0.10/0.56  % (6230)Time elapsed: 0.037 s
% 0.10/0.56  % (6230)Instructions burned: 70 (million)
% 0.10/0.56  % (6230)------------------------------
% 0.10/0.56  % (6230)------------------------------
% 0.10/0.56  % (6220)Instruction limit reached!
% 0.10/0.56  % (6220)------------------------------
% 0.10/0.56  % (6220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (6220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (6220)Termination reason: Unknown
% 0.10/0.56  % (6220)Termination phase: Saturation
% 0.10/0.56  
% 0.10/0.56  % (6220)Memory used [KB]: 8187
% 0.10/0.56  % (6220)Time elapsed: 0.240 s
% 0.10/0.56  % (6220)Instructions burned: 100 (million)
% 0.10/0.56  % (6220)------------------------------
% 0.10/0.56  % (6220)------------------------------
% 0.10/0.56  % (6270)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 0.10/0.56  % (6203)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.10/0.56  % (6203)Terminated due to inappropriate strategy.
% 0.10/0.56  % (6203)------------------------------
% 0.10/0.56  % (6203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (6203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (6203)Termination reason: Inappropriate
% 0.10/0.56  
% 0.10/0.56  % (6203)Memory used [KB]: 3837
% 0.10/0.56  % (6203)Time elapsed: 0.049 s
% 0.10/0.56  % (6203)Instructions burned: 106 (million)
% 0.10/0.56  % (6203)------------------------------
% 0.10/0.56  % (6203)------------------------------
% 0.10/0.56  % (6217)Instruction limit reached!
% 0.10/0.56  % (6217)------------------------------
% 0.10/0.56  % (6217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.10/0.56  % (6217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.10/0.56  % (6217)Termination reason: Unknown
% 0.10/0.56  % (6217)Termination phase: Saturation
% 0.10/0.56  
% 0.10/0.56  % (6217)Memory used [KB]: 8187
% 0.10/0.56  % (6217)Time elapsed: 0.048 s
% 0.10/0.56  % (6217)Instructions burned: 99 (million)
% 0.10/0.56  % (6217)------------------------------
% 0.10/0.56  % (6217)------------------------------
% 0.10/0.58  % (6280)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/90Mi)
% 2.38/0.60  % (6275)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/211Mi)
% 2.46/0.60  % (6222)Instruction limit reached!
% 2.46/0.60  % (6222)------------------------------
% 2.46/0.60  % (6222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.60  % (6222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.60  % (6222)Termination reason: Unknown
% 2.46/0.60  % (6222)Termination phase: Saturation
% 2.46/0.60  
% 2.46/0.60  % (6222)Memory used [KB]: 8315
% 2.46/0.60  % (6222)Time elapsed: 0.058 s
% 2.46/0.60  % (6222)Instructions burned: 101 (million)
% 2.46/0.60  % (6222)------------------------------
% 2.46/0.60  % (6222)------------------------------
% 2.46/0.61  % (6215)Instruction limit reached!
% 2.46/0.61  % (6215)------------------------------
% 2.46/0.61  % (6215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.61  % (6215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.61  % (6215)Termination reason: Unknown
% 2.46/0.61  % (6215)Termination phase: Saturation
% 2.46/0.61  
% 2.46/0.61  % (6215)Memory used [KB]: 8059
% 2.46/0.61  % (6215)Time elapsed: 0.048 s
% 2.46/0.61  % (6215)Instructions burned: 101 (million)
% 2.46/0.61  % (6215)------------------------------
% 2.46/0.61  % (6215)------------------------------
% 2.46/0.62  % (6295)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.46/0.62  % (6223)Instruction limit reached!
% 2.46/0.62  % (6223)------------------------------
% 2.46/0.62  % (6223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.46/0.62  % (6223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.46/0.62  % (6223)Termination reason: Unknown
% 2.46/0.62  % (6223)Termination phase: Saturation
% 2.46/0.62  
% 2.46/0.62  % (6223)Memory used [KB]: 3709
% 2.46/0.62  % (6223)Time elapsed: 0.048 s
% 2.46/0.62  % (6223)Instructions burned: 101 (million)
% 2.46/0.62  % (6223)------------------------------
% 2.46/0.62  % (6223)------------------------------
% 2.64/0.62  % (6306)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.64/0.62  % (6303)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.64/0.63  % (6309)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.64/0.63  % (6304)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.64/0.64  WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.64/0.64  % (6313)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.64/0.65  % (6323)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/3735Mi)
% 2.64/0.65  % (6322)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/2016Mi)
% 2.64/0.65  % (6310)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.64/0.66  % (6225)Instruction limit reached!
% 2.64/0.66  % (6225)------------------------------
% 2.64/0.66  % (6225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.66  % (6225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.66  % (6225)Termination reason: Unknown
% 2.64/0.66  % (6225)Termination phase: Saturation
% 2.64/0.66  
% 2.64/0.66  % (6225)Memory used [KB]: 8827
% 2.64/0.66  % (6225)Time elapsed: 0.347 s
% 2.64/0.66  % (6225)Instructions burned: 139 (million)
% 2.64/0.66  % (6225)------------------------------
% 2.64/0.66  % (6225)------------------------------
% 2.64/0.67  % (6321)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.64/0.67  % (6280)Instruction limit reached!
% 2.64/0.67  % (6280)------------------------------
% 2.64/0.67  % (6280)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.64/0.67  % (6280)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.64/0.67  % (6280)Termination reason: Unknown
% 2.64/0.67  % (6280)Termination phase: Saturation
% 2.64/0.67  
% 2.64/0.67  % (6280)Memory used [KB]: 8059
% 2.64/0.67  % (6280)Time elapsed: 0.040 s
% 2.64/0.67  % (6280)Instructions burned: 91 (million)
% 2.64/0.67  % (6280)------------------------------
% 2.64/0.67  % (6280)------------------------------
% 2.64/0.69  % (6326)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4756Mi)
% 2.64/0.70  % (6328)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.64/0.70  % (6327)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4931Mi)
% 2.64/0.71  % (6324)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4958Mi)
% 3.32/0.72  % (6325)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/4959Mi)
% 3.32/0.72  % (6224)Instruction limit reached!
% 3.32/0.72  % (6224)------------------------------
% 3.32/0.72  % (6224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.72  % (6224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.72  % (6224)Termination reason: Unknown
% 3.32/0.72  % (6224)Termination phase: Saturation
% 3.32/0.72  
% 3.32/0.72  % (6224)Memory used [KB]: 9083
% 3.32/0.72  % (6224)Time elapsed: 0.412 s
% 3.32/0.72  % (6224)Instructions burned: 176 (million)
% 3.32/0.72  % (6224)------------------------------
% 3.32/0.72  % (6224)------------------------------
% 3.32/0.74  % (6329)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.32/0.74  % (6309)Instruction limit reached!
% 3.32/0.74  % (6309)------------------------------
% 3.32/0.74  % (6309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.75  % (6330)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.32/0.75  % (6309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.75  % (6309)Termination reason: Unknown
% 3.32/0.75  % (6309)Termination phase: Property scanning
% 3.32/0.75  
% 3.32/0.75  % (6309)Memory used [KB]: 3709
% 3.32/0.75  % (6309)Time elapsed: 0.032 s
% 3.32/0.75  % (6309)Instructions burned: 68 (million)
% 3.32/0.75  % (6309)------------------------------
% 3.32/0.75  % (6309)------------------------------
% 3.32/0.75  % (6231)Instruction limit reached!
% 3.32/0.75  % (6231)------------------------------
% 3.32/0.75  % (6231)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.32/0.75  % (6231)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.32/0.75  % (6231)Termination reason: Unknown
% 3.32/0.75  % (6231)Termination phase: Saturation
% 3.32/0.75  
% 3.32/0.75  % (6231)Memory used [KB]: 4861
% 3.32/0.75  % (6231)Time elapsed: 0.431 s
% 3.32/0.75  % (6231)Instructions burned: 177 (million)
% 3.32/0.75  % (6231)------------------------------
% 3.32/0.75  % (6231)------------------------------
% 3.32/0.76  % (6331)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2891Mi)
% 3.32/0.77  % (6332)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.78/0.80  % (6321)Instruction limit reached!
% 3.78/0.80  % (6321)------------------------------
% 3.78/0.80  % (6321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.78/0.80  % (6321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.78/0.80  % (6321)Termination reason: Unknown
% 3.78/0.80  % (6321)Termination phase: Saturation
% 3.78/0.80  
% 3.78/0.80  % (6321)Memory used [KB]: 8059
% 3.78/0.80  % (6321)Time elapsed: 0.041 s
% 3.78/0.80  % (6321)Instructions burned: 91 (million)
% 3.78/0.80  % (6321)------------------------------
% 3.78/0.80  % (6321)------------------------------
% 3.78/0.81  % (6328)Instruction limit reached!
% 3.78/0.81  % (6328)------------------------------
% 3.78/0.81  % (6328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.78/0.81  % (6328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.78/0.81  % (6328)Termination reason: Unknown
% 3.78/0.81  % (6328)Termination phase: Property scanning
% 3.78/0.81  
% 3.78/0.81  % (6328)Memory used [KB]: 3709
% 3.78/0.81  % (6328)Time elapsed: 0.031 s
% 3.78/0.81  % (6328)Instructions burned: 70 (million)
% 3.78/0.81  % (6328)------------------------------
% 3.78/0.81  % (6328)------------------------------
% 3.78/0.81  % (6333)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.78/0.83  % (6232)First to succeed.
% 3.78/0.85  % (6232)Refutation found. Thanks to Tanya!
% 3.78/0.85  % SZS status Theorem for theBenchmark
% 3.78/0.85  % SZS output start Proof for theBenchmark
% See solution above
% 3.78/0.85  % (6232)------------------------------
% 3.78/0.85  % (6232)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.78/0.85  % (6232)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.78/0.85  % (6232)Termination reason: Refutation
% 3.78/0.85  
% 3.78/0.85  % (6232)Memory used [KB]: 9978
% 3.78/0.85  % (6232)Time elapsed: 0.494 s
% 3.78/0.85  % (6232)Instructions burned: 221 (million)
% 3.78/0.85  % (6232)------------------------------
% 3.78/0.85  % (6232)------------------------------
% 3.78/0.85  % (6196)Success in time 0.594 s
%------------------------------------------------------------------------------